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Finding the Third Proportional to 291,882 and 443,712

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Solution

The third proportional to 291,882 and 443,712 is: 674,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,882 : 443,712 = 443,712 : x
  2. Step 2: Convert to fraction form
    291,882/443,712 = 443,712/x
  3. Step 3: Cross multiply
    291,882x = 443,712 × 443,712
  4. Step 4: Simplify right side
    291,882x = 196,880,338,944
  5. Step 5: Solve for x
    x = 196,880,338,944/291,882
  6. Step 6: Final answer
    x = 674,520.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.